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First passage failure of quasi-partial integrable generalized Hamiltonian systems
8 references·1 citing·31 second hop
First passage failure of quasi-partial integrable generalized Hamiltonian systems (2009)First passage failure of quasi-partial in…An importance sampling procedure for estimating failure probabilities of non-linear dynamic systems subjected to random noise (2007)An importance sampling proced…Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting (2004)Reliability estimation for dy…Excursion probabilities of non-linear systems (2004)Excursion probabilities of no…First-Passage Failure of Quasi-Integrable Hamiltonian Systems (2002)First-Passage Failure of Quas…First-passage failure of quasi-non-integrable-Hamiltonian systems (2001)First-passage failure of quas…The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation (1990)The Generalized Cell Mapping …First-passage time for randomly excited non-linear oscillators (1986)First-passage time for random…First Passage Probability for Nonlinear Oscillators (1976)First Passage Probability for…First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping (2011)First passage failure of MDOF…Some First-Passage Problems in Random Vibration (1966)First-passage probabilities for randomly excited systems: Diffusion methods (1986)First-passage time probability of non-linear stochastic systems by generalized cell mapping method (1988)Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation (1999)Stochastic Differential Equations: An Introduction with Applications. (1987)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Monte–Carlo Based Method for Predicting Extreme Value Statistics of Uncertain Structures (2010)Girsanov's transformation based variance reduced Monte Carlo simulation schemes for reliability estimation in nonlinear stochastic dynamics (2017)Experimental estimation of time variant system reliability of vibrating structures based on subset simulation with Markov chain splitting (2018)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)First excursion probabilities for linear systems by very efficient importance sampling (2001)Evolution of probability densities in the phase space for reliability analysis of non-linear structures (2008)Importance sampling in structural systems (1989)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Local estimation of failure probability function and its confidence interval with maximum entropy principle (2006)Matlab codes of Subset Simulation for reliability analysis and structural optimization (2016)Simulation and the Monte Carlo Method (2016)A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)Random Vibration of Systems with Frequency-Dependent Parameters or Fractional Derivatives (1997)Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems (2023)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems (2006)Stochastic Dynamics and Control (2006)Feedback minimization of first-passage failure of quasi non-integrable Hamiltonian systems (2002)First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations (2010)Reliability of systems with randomly varying parameters by the path integration method (2010)Efficient solution of the first passage problem by Path Integration for normal and Poissonian white noise (2015)First passage time for oscillators with non-linear restoring forces (1978)Methods of stochastic structural dynamics (1986)An efficient simulation method for reliability analysis of linear dynamical systems using simple additive rules of probability (2004)
this work references cited by second hop

References

  • 1990The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation199 cited
  • 2004Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting135 cited
  • 2001First-passage failure of quasi-non-integrable-Hamiltonian systems73 cited
  • 1986First-passage time for randomly excited non-linear oscillators69 cited
  • 2002First-Passage Failure of Quasi-Integrable Hamiltonian Systems60 cited
  • 1976First Passage Probability for Nonlinear Oscillators57 cited
  • 2007An importance sampling procedure for estimating failure probabilities of non-linear dynamic systems subjected to random noise31 cited
  • 2004Excursion probabilities of non-linear systems21 cited

Cited by

  • 2011First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping17 cited

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